If $(- 1, 0)$ $(-1, 0)$ lies on the graph of $y = f (x)$ $y = f(x)$ , what is the point that lies on the graph of $y = f (x + 3)$ $y = f(x + 3)$ ?

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If $(- 1, 0)$ $(-1, 0)$ lies on the graph of $y = f (x)$ $y = f(x)$ , what is the point that lies on the graph of $y = f (x + 3)$ $y = f(x + 3)$ ?

1 Answer

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Answer 1 · 2017-11-09T16:25:27

In $y = f (x - b)$ $y = f(x - b)$ , the value of $b$ $b$ decides the horizontal transformation. For a) $b = - 3$ $b = -3$ , so the function is transformed $3$ $3$ units left. This means the new point is $(- 1, - 3)$ $(-1, -3)$ .

I'll leave the other one for you.

Hopefully this helps!

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If $(- 1, 0)$ $(-1, 0)$ lies on the graph of $y = f (x)$ $y = f(x)$ , what is the point that lies on the graph of $y = f (x + 3)$ $y = f(x + 3)$ ?

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If (-1, 0)(−1,0)(-1, 0) lies on the graph of y = f(x)y=f(x)y = f(x), what is the point that lies on the graph of y = f(x + 3)y=f(x+3)y = f(x + 3)?

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If $(- 1, 0)$ $(-1, 0)$ lies on the graph of $y = f (x)$ $y = f(x)$ , what is the point that lies on the graph of $y = f (x + 3)$ $y = f(x + 3)$ ?